What is the Least Common Multiple of 85360 and 85371?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 85360 and 85371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85360 and 85371, than apply into the LCM equation.

GCF(85360,85371) = 11
LCM(85360,85371) = ( 85360 × 85371) / 11
LCM(85360,85371) = 7287268560 / 11
LCM(85360,85371) = 662478960

Least Common Multiple (LCM) of 85360 and 85371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85360 and 85371. First we will calculate the prime factors of 85360 and 85371.

Prime Factorization of 85360

Prime Factorization of 85371

Now multiplying the highest exponent prime factors to calculate the LCM of 85360 and 85371.

LCM(85360,85371) = 2⁴ × 5¹ × 11¹ × 97¹ × 3¹ × 13¹ × 199¹
LCM(85360,85371) = 662478960